• A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...
    101 KB (11,974 words) - 07:10, 8 May 2025
  • The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being...
    23 KB (3,258 words) - 10:12, 7 March 2025
  • data are shifted by half a sample. The DST is related to the discrete cosine transform (DCT), which is equivalent to a DFT of real and even functions...
    14 KB (2,049 words) - 15:41, 25 February 2025
  • Thumbnail for Nasir Ahmed (engineer)
    University of New Mexico (UNM). He is best known for inventing the discrete cosine transform (DCT) in the early 1970s. The DCT is the most widely used data...
    21 KB (1,530 words) - 07:16, 6 May 2025
  • Thumbnail for Sine and cosine transforms
    plus cosine waves representing the even component of the function. The modern Fourier transform concisely contains both the sine and cosine transforms. Since...
    18 KB (2,672 words) - 20:45, 21 January 2025
  • Thumbnail for Fourier analysis
    JPEG compression uses a variant of the Fourier transformation (discrete cosine transform) of small square pieces of a digital image. The Fourier components...
    38 KB (4,788 words) - 15:31, 27 April 2025
  • variables. Z-transform, a generalization of the DTFT to the entire complex plane Modified discrete cosine transform (MDCT) Discrete Hartley transform (DHT) Also...
    7 KB (1,001 words) - 21:41, 28 February 2025
  • The discrete cosine transform (DCT) is the most widely used transform coding compression algorithm in digital media, followed by the discrete wavelet...
    2 KB (219 words) - 16:15, 19 October 2023
  • library Boost. Chebyshev polynomials Discrete cosine transform Discrete Fourier transform List of Fourier-related transforms Trefethen, Lloyd (2013). Approximation...
    5 KB (964 words) - 19:01, 17 December 2024
  • signal processing. The most widely used transform coding technique in this regard is the discrete cosine transform (DCT), proposed by Nasir Ahmed in 1972...
    7 KB (769 words) - 00:54, 6 December 2024
  • Fourier transform, a popular implementation of the DFT Discrete cosine transform Modified discrete cosine transform Discrete Hartley transform Discrete sine...
    3 KB (264 words) - 23:15, 12 March 2025
  • Thumbnail for Short-time Fourier transform
    \omega )|^{2}} See also the modified discrete cosine transform (MDCT), which is also a Fourier-related transform that uses overlapping windows. If only...
    22 KB (4,055 words) - 09:25, 3 March 2025
  • Thumbnail for Discrete Fourier transform
    In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
    76 KB (12,333 words) - 05:19, 3 May 2025
  • of both Dolby Digital and DD+ is a modified discrete cosine transform (MDCT), which is used to transform the audio signal into the frequency domain; within...
    25 KB (3,282 words) - 03:58, 8 November 2024
  • Thumbnail for JPEG
    Photographic Experts Group created the standard in 1992, based on the discrete cosine transform (DCT) algorithm. JPEG was largely responsible for the proliferation...
    109 KB (13,565 words) - 23:03, 7 May 2025
  • alternatively, cosine overlapping windows. Take the logs of the powers at each of the mel frequencies. Take the discrete cosine transform of the list of...
    15 KB (2,070 words) - 19:25, 10 November 2024
  • Thumbnail for Fast Fourier transform
    Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...
    67 KB (7,814 words) - 18:05, 2 May 2025
  • Thumbnail for Audio coding format
    Discrete cosine transform (DCT), developed by Nasir Ahmed, T. Natarajan and K. R. Rao in 1974, provided the basis for the modified discrete cosine transform...
    20 KB (1,822 words) - 09:03, 27 December 2024
  • Thumbnail for Discrete wavelet transform
    analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key...
    36 KB (5,217 words) - 12:55, 29 December 2024
  • Thumbnail for K. R. Rao
    co-invention of discrete cosine transform (DCT), along with Nasir Ahmed and T. Natarajan due to their landmark publication, Discrete Cosine Transform. Rao received...
    20 KB (1,255 words) - 02:46, 28 April 2025
  • Thumbnail for Compression artifact
    common digital compression artifacts are DCT blocks, caused by the discrete cosine transform (DCT) compression algorithm used in many digital media standards...
    22 KB (2,354 words) - 16:13, 5 January 2025
  • Thumbnail for Lossy compression
    needs). The most widely used lossy compression algorithm is the discrete cosine transform (DCT), first published by Nasir Ahmed, T. Natarajan and K. R....
    26 KB (3,269 words) - 19:56, 9 May 2025
  • Karhunen–Loève transform (KLT) defined by the Karhunen–Loève theorem. The discrete cosine transform (DCT) is often used as a computationally efficient transform that...
    17 KB (1,910 words) - 16:25, 26 December 2024
  • Thumbnail for Image compression
    to as "DCT-II" in the context of a family of discrete cosine transforms (see discrete cosine transform). It is generally the most efficient form of image...
    19 KB (2,109 words) - 13:55, 5 May 2025
  • XvMC onto the GPU are motion compensation (mo comp) and inverse discrete cosine transform (iDCT) for MPEG-2 video. XvMC also supports offloading decoding...
    13 KB (1,577 words) - 17:57, 14 August 2024
  • multidimensional Laplace transforms. Discrete cosine transform List of Fourier-related transforms List of Fourier analysis topics Multidimensional discrete convolution...
    24 KB (4,602 words) - 04:59, 25 March 2025
  • the modified discrete cosine transform (MDCT), a lossy audio compression algorithm. It is a modification of the discrete cosine transform (DCT) algorithm...
    36 KB (3,838 words) - 02:24, 3 May 2025
  • Thumbnail for Wavelet transform
    the case if some other transform, such as the more widespread discrete cosine transform, had been used. Discrete wavelet transform has been successfully...
    27 KB (3,836 words) - 21:35, 6 February 2025
  • algorithm that enabled practical video hosting and streaming is the discrete cosine transform (DCT), a lossy compression technique first proposed by Nasir Ahmed...
    17 KB (2,014 words) - 00:06, 9 May 2025
  • Thumbnail for Advanced Video Coding
    was achieved with features such as a reduced-complexity integer discrete cosine transform (integer DCT), variable block-size segmentation, and multi-picture...
    89 KB (9,792 words) - 22:00, 21 April 2025